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Finding the Fourth Proportional to 29,787.75, 44,684.06 and 9,011.25

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Solution

The fourth proportional to 29,787.75, 44,684.06 and 9,011.25 is: 13,517.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,787.75 : 44,684.06 = 9,011.25 : x
  2. Step 2: Convert to fraction form
    29,787.75/44,684.06 = 9,011.25/x
  3. Step 3: Cross multiply
    29,787.75x = 44,684.06 × 9,011.25
  4. Step 4: Simplify right side
    29,787.75x = 402,659,190.62
  5. Step 5: Solve for x
    x = 402,659,190.62/29,787.75
  6. Step 6: Final answer
    x = 13,517.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.